Q: Define Radian measure of an angle?

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The radian measure IS the arc length of the unit circle, by definition - that is how the radian is defined in the first place.

1.256 radians.

72 degrees = 1.256637 radians.

-1.257 radian

180 deg = pi radians So x deg = x*pi/180 radians

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A radian.

2.094

The radian measure IS the arc length of the unit circle, by definition - that is how the radian is defined in the first place.

It is a measure of the extent of angular displacement - a measure of an angle.

1.256 radians.

72 degrees = 1.256637 radians.

An informal definition: If you take a radius of a circle and wrap it around its circumference then the angle which that arc will make at the centre of the circle is 1 radian.More formally, a radian is 1/(2*pi) of a whole angle.

x*pi / 180 -420*3.14 / 180 = -7.33

5

To get radian measure of angle given in degrees, multiple the measure in degrees by PI/180. Example: 60 deg = 60 * PI/180 rad = 1.047 rad.

It is 420/180*pi radians = 2.33... *pi radians or 7.3304 radians (approx).

#include<stdio.h> #include<conio.h> #include<math.h> void main() { const float pi=3.14; float angle,radian; clrscr(); printf("Angle\t Radian\t\t sin\t\t cos\t\t tangent"); for(angle=0;angle<=180;angle+=10) { radian=(pi/180.0)*angle; printf("\n%0.0f\t%f\t%f\t%f\t%f",angle,radian,sin(radian),cos(radian),tan(radian)); } getch(); }